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bekas [8.4K]
1 year ago
12

If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many diff

erent ways can a student check off one answer to each question?
(b) in how many ways can a student check off one answer to each question and get all the answers wrong?
Mathematics
1 answer:
Papessa [141]1 year ago
5 0

Answer:

  (a)  1024 ways

  (b)  243 ways

Step-by-step explanation:

When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.

__

<h3>(a)</h3>

The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.

The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.

__

<h3>(b)</h3>

There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...

  3^5 = 243

A student can answer all questions wrong in 243 different ways.

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ahrayia [7]

Answer:

b > 12.71

Step-by-step explanation:

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Now, the equation is (\log b)^{7} > 2

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We are taking the base of the log here is 10.

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3 years ago
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marishachu [46]

Answer:

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Step-by-step explanation:

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2 years ago
A system of equations is graphed on the coordinate plane. y=−6x−3y=−x+2 What is the solution to the system of equations? Enter t
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The answers are as follows:
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A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590
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Let's assume

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time in minutes =t

we are given

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